Sunday, November 26, 2006

4-D

8 comments:

Mr roT said...

That your buddy Fomenko, AI?

Tecumseh said...

This is for real -- 4-D regular polyhedra.

Mr roT said...

How many Platonic solids are there in dimension n?

Tecumseh said...

You mean, convex regular polytopes, yes? Answer is:

n=2: \infty
n=3: 5
n=4: 6
n>=5: 3

The one in the pic is, I think, the only one that has no analogue in dim 3.

Arelcao Akleos said...

AI, I never knew about the enumeration of these for n=4, or higher. Is there a good reference for these? The image is beautiful, who did it?
By the way, those who say it never freezes snow in Vancouver are full of horsewhacky

Mr roT said...

Wiki to the rescue. AI, did you write this entry or were you busy writing the ones on Coanda?

Tecumseh said...

The photo is from here. And, yes, Wiki has a good article about this.

My Frontier Thesis said...

By the way, those who say it never freezes snow in Vancouver are full of horsewhacky.

Stop being such a little bitch AA. Pass the ranch.